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Simplifying -1.5x + 1 + -1x2 + 7x = 10 Reorder the terms: 1 + -1.5x + 7x + -1x2 = 10 Combine like terms: -1.5x + 7x = 5.5x 1 + 5.5x + -1x2 = 10 Solving 1 + 5.5x + -1x2 = 10 Solving for variable 'x'. Reorder the terms: 1 + -10 + 5.5x + -1x2 = 10 + -10 Combine like terms: 1 + -10 = -9 -9 + 5.5x + -1x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -9 + 5.5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -5.5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5.5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -5.5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5.5x + x2 = 0 + -9 -5.5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5.5x + x2 = -9 The x term is -5.5x. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5x + 7.5625 + x2 = -9 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -9 + 7.5625 Combine like terms: -9 + 7.5625 = -1.4375 7.5625 + -5.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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